Mathematics
Grade-8
Easy

Question

Which is not the property of the transformation rotation

  1. Isometric transformation
  2. Rigid transformation
  3. Congruent transformation
  4. Similar

hintHint:

General synopsis of Transformation concepts.

The correct answer is: Similar


    Hence, we can say that the similarity is not a property of the transformation.
     


    Transformation is a mechanism that transform an object into different structures.

    In General, there are 4 types of transformations. They are;

    1. Reflection

    2. Rotation

    3 Translation

    4. Dilation.

    Properties of the Transformations are:

      >>Congruency

      >>Rigid

      >>Isometric
     

    Related Questions to study

    Grade-8
    Mathematics

    From the given transformation which pre image is not equal to image

    Transformation is a mechanism that transform an object into different structures.
    In General, there are 4 types of transformations. They are;
    1. Reflection
    2. Rotation
    3 Translation
    4. Dilation.
    Except Dilation, all the transformation techniques are termed as rigid transformations since, they provide same structure as the object.

    From the given transformation which pre image is not equal to image

    MathematicsGrade-8

    Transformation is a mechanism that transform an object into different structures.
    In General, there are 4 types of transformations. They are;
    1. Reflection
    2. Rotation
    3 Translation
    4. Dilation.
    Except Dilation, all the transformation techniques are termed as rigid transformations since, they provide same structure as the object.

    Grade-8
    Mathematics

    From the given transformation which is not a rigid transformation

    * Transformation is the mechanism that changes one image to other by performing the below techniques.
    * Reflection, Rotation, Dilation, Translation.
    * Since, In Reflection, Rotation, Dilation the size and shape of the object remains constant. They were called as Rigid Transformation.
    * In Dilation, the object's structure got changed and hence, it is termed as a non- rigid Transformation.

    From the given transformation which is not a rigid transformation

    MathematicsGrade-8

    * Transformation is the mechanism that changes one image to other by performing the below techniques.
    * Reflection, Rotation, Dilation, Translation.
    * Since, In Reflection, Rotation, Dilation the size and shape of the object remains constant. They were called as Rigid Transformation.
    * In Dilation, the object's structure got changed and hence, it is termed as a non- rigid Transformation.

    Grade-8
    Mathematics

    Pick the odd one out

    Hence, we can say that only one option that Rotation is a transformation which slides across the plane is wrong because the rotation transition always slide across a point.

    Pick the odd one out

    MathematicsGrade-8

    Hence, we can say that only one option that Rotation is a transformation which slides across the plane is wrong because the rotation transition always slide across a point.

    parallel
    Grade-8
    Mathematics

    In the transformation rotation at what degree measure image match with its pre image.

    Given Data:
                      In the transformation rotation at what degree measure image match with its pre image.
    >>>We were asked to find the Angle of Rotation that rotates to exactly to it's point.
    >>>Hence, let the point in the space be (x, y) then it's rotation should be (x, y).
    >>>Finely, The rotated coordinates are in the form:
    (x', y') =  left parenthesis x space cos alpha space minus space y space sin alpha space comma space y space cos alpha space plus space x space sin alpha right parenthesis
    >>>From the given data:
    (x', y') = (x, y)
    * By comparing the above Equation's we get:
    x = (x cosalpha - y sinalpha) and y = y cosalpha + x sinalpha
    >>>By solving the above Equation's we get:
              (x cross times y) =  (x cross times y) cosalpha - y2 sinalpha
    and    (x cross times y) =   (x cross times y) cosalpha + x2sinalpha
    ___________________________________
    0 =(x2+y2)sinalpha
    -->sinalpha=0
    -->    alpha=360 degrees.
    >>>Hence, the Angle of Rotation is 360 degrees.

    In the transformation rotation at what degree measure image match with its pre image.

    MathematicsGrade-8

    Given Data:
                      In the transformation rotation at what degree measure image match with its pre image.
    >>>We were asked to find the Angle of Rotation that rotates to exactly to it's point.
    >>>Hence, let the point in the space be (x, y) then it's rotation should be (x, y).
    >>>Finely, The rotated coordinates are in the form:
    (x', y') =  left parenthesis x space cos alpha space minus space y space sin alpha space comma space y space cos alpha space plus space x space sin alpha right parenthesis
    >>>From the given data:
    (x', y') = (x, y)
    * By comparing the above Equation's we get:
    x = (x cosalpha - y sinalpha) and y = y cosalpha + x sinalpha
    >>>By solving the above Equation's we get:
              (x cross times y) =  (x cross times y) cosalpha - y2 sinalpha
    and    (x cross times y) =   (x cross times y) cosalpha + x2sinalpha
    ___________________________________
    0 =(x2+y2)sinalpha
    -->sinalpha=0
    -->    alpha=360 degrees.
    >>>Hence, the Angle of Rotation is 360 degrees.

    Grade-8
    Mathematics

    In the transformation rotation occurs with respect to

    Rotation means the Circular movement of an object around one fixed point.
    * Hence, it is called as a rigid transformation.
    * Hence, we can say that the rotation meant that the rotation of an object about a fixed point.

    In the transformation rotation occurs with respect to

    MathematicsGrade-8

    Rotation means the Circular movement of an object around one fixed point.
    * Hence, it is called as a rigid transformation.
    * Hence, we can say that the rotation meant that the rotation of an object about a fixed point.

    Grade-8
    Mathematics

    In which rotation movement does (x, y)      (-x, -y)

    Given Data:
    In which rotation movement does (x, y)      (-x, -y)
    ***we were asked to find the Angle of Rotation of a point (x, y) to rotate it to (-x, -y).
    >>>The rotated coordinates are:
    (x', y') =  (x cosalpha - y sinalpha , y cosalpha + x sinalpha)
    >>>From the data given  (x', y') = (-x, -y)
    * Hence, By comparing the above equation's we get:
                   -x = x cosalpha - y sinalpha and  -y = y cosalpha + x sinalpha. Then
    * By solving the above equation's we get:
                  (y cross times- x) = (y cross times x ) cosalpha - y2 sinalpha
                  (-y cross times x) = (y cross times x ) cosalpha + x2sinalpha
                ___________________________________
                           0   = 0 + (x2+y2)sinalpha

    sinalpha=0
    alpha = 180 degrees or -180 degrees.
    ***Hence, the Angle of Rotation to rotate the point (x, y) to (-x, -y) is counter clockwise 180 degrees and clockwise 180 degrees.

    In which rotation movement does (x, y)      (-x, -y)

    MathematicsGrade-8

    Given Data:
    In which rotation movement does (x, y)      (-x, -y)
    ***we were asked to find the Angle of Rotation of a point (x, y) to rotate it to (-x, -y).
    >>>The rotated coordinates are:
    (x', y') =  (x cosalpha - y sinalpha , y cosalpha + x sinalpha)
    >>>From the data given  (x', y') = (-x, -y)
    * Hence, By comparing the above equation's we get:
                   -x = x cosalpha - y sinalpha and  -y = y cosalpha + x sinalpha. Then
    * By solving the above equation's we get:
                  (y cross times- x) = (y cross times x ) cosalpha - y2 sinalpha
                  (-y cross times x) = (y cross times x ) cosalpha + x2sinalpha
                ___________________________________
                           0   = 0 + (x2+y2)sinalpha

    sinalpha=0
    alpha = 180 degrees or -180 degrees.
    ***Hence, the Angle of Rotation to rotate the point (x, y) to (-x, -y) is counter clockwise 180 degrees and clockwise 180 degrees.

    parallel
    Grade-8
    Mathematics

    In which rotation movement does (x, y)      (-y, x)

    Given Data:
    In which rotation movement does (x, y)      (-y, x)
    >>>We were asked to find the angle of rotation of a point to rotate a point from (x, y) to (-y, x).
    *** Rotated coordinates are:
    (x', y') =  (x cosalpha - y sinalpha , y cosalpha + x sinalpha)
    >>Here, the rotated points are :
                  (x', y') = (-y, x).
    * Hence, By comparing the above equation's we get:
                 -y =  x cosalpha - y sinalpha ; and x = y cosalpha + x sinalpha

    Hence, By solving the above equation's we get:

                (x cross times -y) = x2cosalpha - (x cross times y)sinalpha

    and      (y cross times x) = y2 cosalpha + (x cross times y)sinalpha
              ________________________________
                          0 = ( x2 + y2)cosalpha 

    * Hence, cosalpha =0 leads to 90 degrees or -270 degrees.
    >>>>Therefore, the Angle of Rotation is counter clockwise 90 degrees and clockwise 270 degrees.

    In which rotation movement does (x, y)      (-y, x)

    MathematicsGrade-8

    Given Data:
    In which rotation movement does (x, y)      (-y, x)
    >>>We were asked to find the angle of rotation of a point to rotate a point from (x, y) to (-y, x).
    *** Rotated coordinates are:
    (x', y') =  (x cosalpha - y sinalpha , y cosalpha + x sinalpha)
    >>Here, the rotated points are :
                  (x', y') = (-y, x).
    * Hence, By comparing the above equation's we get:
                 -y =  x cosalpha - y sinalpha ; and x = y cosalpha + x sinalpha

    Hence, By solving the above equation's we get:

                (x cross times -y) = x2cosalpha - (x cross times y)sinalpha

    and      (y cross times x) = y2 cosalpha + (x cross times y)sinalpha
              ________________________________
                          0 = ( x2 + y2)cosalpha 

    * Hence, cosalpha =0 leads to 90 degrees or -270 degrees.
    >>>>Therefore, the Angle of Rotation is counter clockwise 90 degrees and clockwise 270 degrees.

    Grade-8
    Mathematics

    In rotation of clockwise movement maps (x , y) (y,-x)

    Given Data:
    The point (x, y) is transformed to (x , y) (y,-x) in clockwise direction.
    >>> we were asked to find the Angle of Rotation.
    >>>The coordinates of a point (x, y) after rotation through 90 degrees in clockwise direction are:
    (x', y') = (x cosalpha - y sinalpha , y cosalpha + x sinalpha)
    >>>we were given that (x', y') = (y, -x)
    >>> (y, -x) = (x cosalpha - y sinalpha , y cosalpha + x sinalpha)
        Hence, y = x cosalpha - y sinalpha and -x = y cosalpha + x sinalpha
    By solving the above equation's we get:
                  (x cross times y)  = x2cosalpha - (x cross times y) sinalpha
    and        (y cross times -x) = y2cosalpha + (x cross times y) sinalpha

    __________________________________
    0 = (x2+y2)cosalpha
    *This implies cosalpha=0, then:
    alpha = 90 degrees.
    >>>Therefore, the angle of rotation is 90 degrees.

    In rotation of clockwise movement maps (x , y) (y,-x)

    MathematicsGrade-8

    Given Data:
    The point (x, y) is transformed to (x , y) (y,-x) in clockwise direction.
    >>> we were asked to find the Angle of Rotation.
    >>>The coordinates of a point (x, y) after rotation through 90 degrees in clockwise direction are:
    (x', y') = (x cosalpha - y sinalpha , y cosalpha + x sinalpha)
    >>>we were given that (x', y') = (y, -x)
    >>> (y, -x) = (x cosalpha - y sinalpha , y cosalpha + x sinalpha)
        Hence, y = x cosalpha - y sinalpha and -x = y cosalpha + x sinalpha
    By solving the above equation's we get:
                  (x cross times y)  = x2cosalpha - (x cross times y) sinalpha
    and        (y cross times -x) = y2cosalpha + (x cross times y) sinalpha

    __________________________________
    0 = (x2+y2)cosalpha
    *This implies cosalpha=0, then:
    alpha = 90 degrees.
    >>>Therefore, the angle of rotation is 90 degrees.

    Grade-8
    Mathematics

    Find the measures of a, b and  c?

    Find the measures of a, b and  c?

    MathematicsGrade-8
    parallel
    Grade-8
    Mathematics

    Find the measure of the unknown angle.

    Find the measure of the unknown angle.

    MathematicsGrade-8
    Grade-8
    Mathematics

    Find the measure of the missing angle x of the triangle.

    Find the measure of the missing angle x of the triangle.

    MathematicsGrade-8
    Grade-8
    Mathematics

    Find the value of x.

    Find the value of x.

    MathematicsGrade-8
    parallel
    Grade-8
    Mathematics

    If the measure of angle b is 54o, find the measure of d.

    If the measure of angle b is 54o, find the measure of d.

    MathematicsGrade-8
    Grade-8
    Mathematics

    Find the measures of unknown angles.

    Find the measures of unknown angles.

    MathematicsGrade-8
    Grade-8
    Mathematics

    What is the value of x ?

    What is the value of x ?

    MathematicsGrade-8
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.